Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840z |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-2.4807711171181E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -1 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8289279,22135797855] |
[a1,a2,a3,a4,a6] |
j |
240289066260405262079/946339079711203125 |
j-invariant |
L |
2.5307035204518 |
L(r)(E,1)/r! |
Ω |
0.070297320570292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840bs1 1185c1 |
Quadratic twists by: -4 8 |